Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 6558 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_8\phi_1q_1\tilde{q}_2$ + $ M_9\phi_1q_1^2$ | 0.6448 | 0.8483 | 0.7602 | [X:[], M:[1.0, 1.0182, 0.9635, 1.2546, 0.7089, 0.7454, 0.7637, 0.7272, 1.0182], q:[0.2454, 0.7546], qb:[0.5, 0.5365], phi:[0.4909]] | [X:[], M:[[0], [4], [-8], [1], [-9], [-1], [3], [-5], [4]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_8$, $ M_6$, $ M_7$, $ q_1\tilde{q}_2$, $ M_3$, $ M_1$, $ M_2$, $ M_9$, $ M_4$, $ M_5^2$, $ M_5M_8$, $ M_5M_6$, $ M_8^2$, $ M_5M_7$, $ M_6M_8$, $ M_6^2$, $ M_7M_8$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_6M_7$, $ M_8q_1\tilde{q}_2$, $ M_7^2$, $ M_6q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1^2\tilde{q}_2^2$, $ M_3M_5$, $ M_3M_8$, $ M_1M_5$, $ M_3M_6$, $ M_2M_5$, $ M_3M_7$, $ M_1M_8$, $ M_5M_9$, $ M_1M_6$, $ M_2M_8$, $ M_8M_9$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ M_1M_7$, $ M_6M_9$, $ M_2M_7$, $ M_7M_9$, $ \phi_1q_2\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_9q_1\tilde{q}_2$, $ M_3^2$, $ M_1M_3$, $ M_4M_5$, $ M_2M_3$, $ M_4M_8$, $ M_3M_9$ | . | -2 | t^2.13 + t^2.18 + t^2.24 + t^2.29 + t^2.35 + t^2.89 + t^3. + 2*t^3.05 + t^3.76 + t^4.25 + t^4.31 + 2*t^4.36 + 2*t^4.42 + 4*t^4.47 + 2*t^4.53 + 3*t^4.58 + t^4.64 + 2*t^4.69 + t^5.02 + t^5.07 + t^5.13 + 4*t^5.18 + 3*t^5.24 + 3*t^5.29 + 3*t^5.35 + 2*t^5.4 + t^5.78 + t^5.89 + 2*t^5.95 - 2*t^6. + 2*t^6.05 + 2*t^6.11 + t^6.38 + t^6.44 + 2*t^6.49 + 3*t^6.54 + 4*t^6.6 + 5*t^6.65 + 4*t^6.71 + 4*t^6.76 + 6*t^6.82 + 3*t^6.87 + 3*t^6.93 + 2*t^6.98 + 2*t^7.04 + t^7.14 + t^7.2 + 2*t^7.25 + 4*t^7.31 + 5*t^7.36 + 5*t^7.42 + 6*t^7.47 + 7*t^7.53 + 5*t^7.58 + 5*t^7.64 + 3*t^7.69 + 3*t^7.75 + t^7.91 + t^7.96 + t^8.02 + 3*t^8.07 - t^8.13 - t^8.18 + 2*t^8.24 - 2*t^8.29 + t^8.4 + 2*t^8.46 + t^8.51 + t^8.56 + 2*t^8.62 + 4*t^8.67 + 5*t^8.73 + 6*t^8.78 + 8*t^8.84 + t^8.89 + 8*t^8.95 - t^4.47/y - t^6.6/y - t^6.65/y - t^6.76/y + t^7.31/y + (3*t^7.42)/y + (2*t^7.47)/y + t^7.53/y + (2*t^7.58)/y + t^7.64/y + t^8.02/y + t^8.07/y + (2*t^8.13)/y + (5*t^8.18)/y + (4*t^8.24)/y + (4*t^8.29)/y + (4*t^8.35)/y + (2*t^8.4)/y - t^8.73/y - t^8.78/y - t^8.84/y + t^8.89/y + (2*t^8.95)/y - t^4.47*y - t^6.6*y - t^6.65*y - t^6.76*y + t^7.31*y + 3*t^7.42*y + 2*t^7.47*y + t^7.53*y + 2*t^7.58*y + t^7.64*y + t^8.02*y + t^8.07*y + 2*t^8.13*y + 5*t^8.18*y + 4*t^8.24*y + 4*t^8.29*y + 4*t^8.35*y + 2*t^8.4*y - t^8.73*y - t^8.78*y - t^8.84*y + t^8.89*y + 2*t^8.95*y | t^2.13/g1^9 + t^2.18/g1^5 + t^2.24/g1 + g1^3*t^2.29 + g1^7*t^2.35 + t^2.89/g1^8 + t^3. + 2*g1^4*t^3.05 + g1*t^3.76 + t^4.25/g1^18 + t^4.31/g1^14 + (2*t^4.36)/g1^10 + (2*t^4.42)/g1^6 + (4*t^4.47)/g1^2 + 2*g1^2*t^4.53 + 3*g1^6*t^4.58 + g1^10*t^4.64 + 2*g1^14*t^4.69 + t^5.02/g1^17 + t^5.07/g1^13 + t^5.13/g1^9 + (4*t^5.18)/g1^5 + (3*t^5.24)/g1 + 3*g1^3*t^5.29 + 3*g1^7*t^5.35 + 2*g1^11*t^5.4 + t^5.78/g1^16 + t^5.89/g1^8 + (2*t^5.95)/g1^4 - 2*t^6. + 2*g1^4*t^6.05 + 2*g1^8*t^6.11 + t^6.38/g1^27 + t^6.44/g1^23 + (2*t^6.49)/g1^19 + (3*t^6.54)/g1^15 + (4*t^6.6)/g1^11 + (5*t^6.65)/g1^7 + (4*t^6.71)/g1^3 + 4*g1*t^6.76 + 6*g1^5*t^6.82 + 3*g1^9*t^6.87 + 3*g1^13*t^6.93 + 2*g1^17*t^6.98 + 2*g1^21*t^7.04 + t^7.14/g1^26 + t^7.2/g1^22 + (2*t^7.25)/g1^18 + (4*t^7.31)/g1^14 + (5*t^7.36)/g1^10 + (5*t^7.42)/g1^6 + (6*t^7.47)/g1^2 + 7*g1^2*t^7.53 + 5*g1^6*t^7.58 + 5*g1^10*t^7.64 + 3*g1^14*t^7.69 + 3*g1^18*t^7.75 + t^7.91/g1^25 + t^7.96/g1^21 + t^8.02/g1^17 + (3*t^8.07)/g1^13 - t^8.13/g1^9 - t^8.18/g1^5 + (2*t^8.24)/g1 - 2*g1^3*t^8.29 + g1^11*t^8.4 + 2*g1^15*t^8.46 + t^8.51/g1^36 + t^8.56/g1^32 + (2*t^8.62)/g1^28 + (4*t^8.67)/g1^24 + (5*t^8.73)/g1^20 + (6*t^8.78)/g1^16 + (8*t^8.84)/g1^12 + t^8.89/g1^8 + (8*t^8.95)/g1^4 - t^4.47/(g1^2*y) - t^6.6/(g1^11*y) - t^6.65/(g1^7*y) - (g1*t^6.76)/y + t^7.31/(g1^14*y) + (3*t^7.42)/(g1^6*y) + (2*t^7.47)/(g1^2*y) + (g1^2*t^7.53)/y + (2*g1^6*t^7.58)/y + (g1^10*t^7.64)/y + t^8.02/(g1^17*y) + t^8.07/(g1^13*y) + (2*t^8.13)/(g1^9*y) + (5*t^8.18)/(g1^5*y) + (4*t^8.24)/(g1*y) + (4*g1^3*t^8.29)/y + (4*g1^7*t^8.35)/y + (2*g1^11*t^8.4)/y - t^8.73/(g1^20*y) - t^8.78/(g1^16*y) - t^8.84/(g1^12*y) + t^8.89/(g1^8*y) + (2*t^8.95)/(g1^4*y) - (t^4.47*y)/g1^2 - (t^6.6*y)/g1^11 - (t^6.65*y)/g1^7 - g1*t^6.76*y + (t^7.31*y)/g1^14 + (3*t^7.42*y)/g1^6 + (2*t^7.47*y)/g1^2 + g1^2*t^7.53*y + 2*g1^6*t^7.58*y + g1^10*t^7.64*y + (t^8.02*y)/g1^17 + (t^8.07*y)/g1^13 + (2*t^8.13*y)/g1^9 + (5*t^8.18*y)/g1^5 + (4*t^8.24*y)/g1 + 4*g1^3*t^8.29*y + 4*g1^7*t^8.35*y + 2*g1^11*t^8.4*y - (t^8.73*y)/g1^20 - (t^8.78*y)/g1^16 - (t^8.84*y)/g1^12 + (t^8.89*y)/g1^8 + (2*t^8.95*y)/g1^4 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 4969 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_8\phi_1q_1\tilde{q}_2$ | 0.647 | 0.8522 | 0.7592 | [X:[], M:[1.0, 1.0269, 0.9462, 1.2567, 0.6895, 0.7433, 0.7702, 0.7164], q:[0.2433, 0.7567], qb:[0.5, 0.5538], phi:[0.4865]] | t^2.07 + t^2.15 + t^2.23 + t^2.31 + t^2.39 + t^2.84 + t^2.92 + t^3. + t^3.08 + t^3.77 + t^4.14 + t^4.22 + 2*t^4.3 + 2*t^4.38 + 4*t^4.46 + 2*t^4.54 + 3*t^4.62 + t^4.7 + 2*t^4.78 + t^4.91 + 2*t^4.99 + 2*t^5.07 + 4*t^5.15 + 3*t^5.23 + 3*t^5.31 + 2*t^5.39 + t^5.47 + t^5.68 + t^5.76 + 2*t^5.84 + 2*t^5.92 - t^6. - t^4.46/y - t^4.46*y | detail |